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Finding the Fourth Proportional to 12,724.30, 17,559.64 and 7,059.42

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Solution

The fourth proportional to 12,724.30, 17,559.64 and 7,059.42 is: 9,742.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,724.30 : 17,559.64 = 7,059.42 : x
  2. Step 2: Convert to fraction form
    12,724.30/17,559.64 = 7,059.42/x
  3. Step 3: Cross multiply
    12,724.30x = 17,559.64 × 7,059.42
  4. Step 4: Simplify right side
    12,724.30x = 123,960,873.81
  5. Step 5: Solve for x
    x = 123,960,873.81/12,724.30
  6. Step 6: Final answer
    x = 9,742.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.